Two-Dimensional Quadratic Nonlinear Systems / Nonlinear Physical Science (PDF)
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The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.
. A theory for stochastic and resonant layers in nonlinear Hamiltonian systems
. A local theory and singularity for discontinuous dynamical systems
. Flow barriers theory for discontinuous dynamical systems
. Synchronization of continuous dynamical systems under specific constraints
. Synchronization and companion of discrete dynamical systems. Analytical solutions of periodic motions in nonlinear systems
. Discretization and implicit mapping dynamics in nonlinear dynamical systems
. Periodic flows in time-delay systems
. Memorized nonlinear dynamical systems
In addition, Luo developed accurate theories for nonlinear deformable-body dynamics, machine tool dynamics and others:
. An approximate plate theory
. A theory for soft structures
. A nonlinear theory for beams and rods
. Fluid-induced nonlinear structural vibration
. A large damage theory for anisotropic materials
. A
He has published over 350 peer-reviewed journal and conference papers. Luo has been an editor for the Journal Communications in Nonlinear Science and Numerical simulation, and the book series on Nonlinear Systems and Complexity (Springer), and Nonlinear Physical Science (Higher Education Press and Springer).
- Autor: Albert C. J. Luo
- 2022, 1st ed. 2021, 445 Seiten, Englisch
- Verlag: Springer Nature Singapore
- ISBN-10: 9811678693
- ISBN-13: 9789811678691
- Erscheinungsdatum: 29.03.2022
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- Größe: 5.21 MB
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